To find the value of \( x \), you will need to clarify the relationship between the given angles: 42 degrees, 48 degrees, 64 degrees, and \( x \).
If you are asking for these angles to form a specific shape, such as a quadrilateral, the sum of the angles of a quadrilateral is 360 degrees. You would set up the equation:
\[ 42 + 48 + 64 + x = 360 \]
First, calculate the sum of the known angles:
\[ 42 + 48 + 64 = 154 \]
Now, substitute that back into the equation:
\[ 154 + x = 360 \]
Now, solve for \( x \):
\[ x = 360 - 154 \] \[ x = 206 \]
So, if the context is that they are the angles of a quadrilateral, then \( x = 206 \) degrees.
If you meant something different (like a triangle, or if there are specific conditions), please provide that context!